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Finding the Fourth Proportional to 940.13, 1,297.38 and 514.76

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Solution

The fourth proportional to 940.13, 1,297.38 and 514.76 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 1,297.38 = 514.76 : x
  2. Step 2: Convert to fraction form
    940.13/1,297.38 = 514.76/x
  3. Step 3: Cross multiply
    940.13x = 1,297.38 × 514.76
  4. Step 4: Simplify right side
    940.13x = 667,845.72
  5. Step 5: Solve for x
    x = 667,845.72/940.13
  6. Step 6: Final answer
    x = 710.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.